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polyMatrix
View on CRAN: Click
here
Download and install polyMatrix package within the R console
Install from CRAN:
install.packages("polyMatrix")
Install from Github:
library("remotes")
install_github("cran/polyMatrix")
Install by package version:
library("remotes")
install_version("polyMatrix", "0.9.16")
Attach the package and use:
library("polyMatrix")
Maintained by
Nikolai Ryzhkov
[Scholar Profile | Author Map]
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2020-01-16
Latest Update: 2021-07-18
Description:
Implementation of class "polyMatrix" for storing a matrix of polynomials and implements
basic matrix operations; including a determinant and characteristic polynomial.
It is based on the package 'polynom' and uses a lot of its methods to implement matrix operations.
This package includes 3 methods of triangularization of polynomial matrices:
Extended Euclidean algorithm which is most classical but numerically unstable;
Sylvester algorithm based on LQ decomposition;
Interpolation algorithm is based on LQ decomposition and Newton interpolation.
Both methods are described in
D. Henrion & M. Sebek, Reliable numerical methods for polynomial matrix triangularization,
IEEE Transactions on Automatic Control (Volume 44, Issue 3, Mar 1999, Pages 497-508)
and in
Salah Labhalla, Henri Lombardi & Roger Marlin,
Algorithmes de calcule de la reduction de Hermite d'une matrice a coefficients polynomeaux,
Theoretical Computer Science (Volume 161, Issue 1-2, July 1996, Pages 69-92) .
How to cite:
Nikolai Ryzhkov (2020). polyMatrix: Infrastructure for Manipulation Polynomial Matrices. R package version 0.9.16, https://cran.r-project.org/web/packages/polyMatrix. Accessed 07 Nov. 2024.
Previous versions and publish date:
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Complete documentation for polyMatrix
Functions, R codes and Examples using
the polyMatrix R package
Some associated functions: GCD . LCM . adjoint . cbind . charpolynom . cofactor . degree . diag . inv . is.polyMatrix . is.proper . is.zero . matrix.degree . minor . newton . parse.polyMatrix . parse.polynomial . polyMatrix-Arith . polyMatrix-class . polyMatrix-mmult . polyMatrix-package . polyMatrix-subscript . polyMatrix.apply . polyMatrix . polyMatrixCharPolynomial-class . t-polyMatrix-method . tr . triang_Interpolation . triang_Sylvester . zero.round . zero_lead_hyp_rows . zero_lead_rows .
Some associated R codes: class_polyMatrix.R . class_polyMatrixCharPolynomial.R . constants.R . method_adjoint.R . method_bind.R . method_charpolynom.R . method_coef.R . method_degree.R . method_det.R . method_diag.R . method_dim.R . method_gcd.R . method_inv.R . method_is_zero.R . method_lcm.R . method_predict.R . method_proper.R . method_round.R . method_show.R . method_subscript.R . method_t.R . method_trace.R . method_zero_round.R . ops.R . ops_addition.R . ops_equal.R . ops_matrix_mult.R . ops_multiplication.R . ops_subtraction.R . parser.R . polyMatrix-package.R . triang_interpolation.R . triang_sylvester.R . triang_utils.R . utils.R . Full polyMatrix package functions and examples
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